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Simplifying -7 + 3r + -2 + -1r = 1 + 4r Reorder the terms: -7 + -2 + 3r + -1r = 1 + 4r Combine like terms: -7 + -2 = -9 -9 + 3r + -1r = 1 + 4r Combine like terms: 3r + -1r = 2r -9 + 2r = 1 + 4r Solving -9 + 2r = 1 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -9 + 2r + -4r = 1 + 4r + -4r Combine like terms: 2r + -4r = -2r -9 + -2r = 1 + 4r + -4r Combine like terms: 4r + -4r = 0 -9 + -2r = 1 + 0 -9 + -2r = 1 Add '9' to each side of the equation. -9 + 9 + -2r = 1 + 9 Combine like terms: -9 + 9 = 0 0 + -2r = 1 + 9 -2r = 1 + 9 Combine like terms: 1 + 9 = 10 -2r = 10 Divide each side by '-2'. r = -5 Simplifying r = -5
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